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Finding the Third Proportional to 160,769 and 236,506

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Solution

The third proportional to 160,769 and 236,506 is: 347,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,769 : 236,506 = 236,506 : x
  2. Step 2: Convert to fraction form
    160,769/236,506 = 236,506/x
  3. Step 3: Cross multiply
    160,769x = 236,506 × 236,506
  4. Step 4: Simplify right side
    160,769x = 55,935,088,036
  5. Step 5: Solve for x
    x = 55,935,088,036/160,769
  6. Step 6: Final answer
    x = 347,922.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.